Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids; to which are Added, Elements of Plane and Spherical TrigonometryB. & S. Collins; W. E. Dean, printer, 1836 - 311 páginas |
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Página 7
... line which joins the vertices of two angles not adjacent to each other . Thus , BC , in the diagram of Theor . 27 ... straight line may be drawn from any one point to any other point . 2. That a terminated straight line may be produced ...
... line which joins the vertices of two angles not adjacent to each other . Thus , BC , in the diagram of Theor . 27 ... straight line may be drawn from any one point to any other point . 2. That a terminated straight line may be produced ...
Página 9
... BC be equal to the base EF ; and the triangle ABC to the triangle DEF ; and ... straight line AB upon DE ; the point B shall coincide with the point E ... BC shall coincide with the base EF ( cor . def . 3. ) , and shall be equal to it ...
... BC be equal to the base EF ; and the triangle ABC to the triangle DEF ; and ... straight line AB upon DE ; the point B shall coincide with the point E ... BC shall coincide with the base EF ( cor . def . 3. ) , and shall be equal to it ...
Página 12
... straight line makes with another upon one side of it , are either two right angles , or are together equal to two ... BC , BD upon the opposite sides of AB , make the adjacent angles ABC , ABD equal together to two right angles . BD is in the ...
... straight line makes with another upon one side of it , are either two right angles , or are together equal to two ... BC , BD upon the opposite sides of AB , make the adjacent angles ABC , ABD equal together to two right angles . BD is in the ...
Página 13
... straight line with BC . And in like manner , it may be demonstrated , that no other can be in the same straight line with it but BD , which therefore is in the same straight line with CB . PROP . VIII . THEOR . E B D If two straight lines ...
... straight line with BC . And in like manner , it may be demonstrated , that no other can be in the same straight line with it but BD , which therefore is in the same straight line with CB . PROP . VIII . THEOR . E B D If two straight lines ...
Página 16
... BC , CA greater than AB . SCHOLIUM . BC This may be demonstrated without producing any of the sides : thus , the line ... straight lines to a point within the triangle , these two lines shall be less than the other two sides of the triangle , ...
... BC , CA greater than AB . SCHOLIUM . BC This may be demonstrated without producing any of the sides : thus , the line ... straight lines to a point within the triangle , these two lines shall be less than the other two sides of the triangle , ...
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROP proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore